Question

The chords of contact of the pair of tangents drawn from each
point on the line 2x + y = 4 to circle x2 + y2 = 1 passes through
the point (a, b). Then find the value of a/b.​

Answer 1

Answer:

ANSWER

(

2

1

,

4

1

)

Let (h,k) be any point on the given line

∴2h+k=4 and C.C. is hx+ky=1

or hx+(4−2h)y=1∵k=4−2h

or (4y−1)+h(x+2y)=0

It is of the form P+λQ=0. It passes through the intersection of P=0 and Q=0 or (

2

1

,

4

1

).